(x+1)(x+-5)=0

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Solution for (x+1)(x+-5)=0 equation:


Simplifying
(x + 1)(x + -5) = 0

Reorder the terms:
(1 + x)(x + -5) = 0

Reorder the terms:
(1 + x)(-5 + x) = 0

Multiply (1 + x) * (-5 + x)
(1(-5 + x) + x(-5 + x)) = 0
((-5 * 1 + x * 1) + x(-5 + x)) = 0
((-5 + 1x) + x(-5 + x)) = 0
(-5 + 1x + (-5 * x + x * x)) = 0
(-5 + 1x + (-5x + x2)) = 0

Combine like terms: 1x + -5x = -4x
(-5 + -4x + x2) = 0

Solving
-5 + -4x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -1x)(5 + -1x) = 0

Subproblem 1

Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1

Subproblem 2

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {-1, 5}

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